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Finding the Third Proportional to 38,681.25 and 52,189.88

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Solution

The third proportional to 38,681.25 and 52,189.88 is: 70,416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,681.25 : 52,189.88 = 52,189.88 : x
  2. Step 2: Convert to fraction form
    38,681.25/52,189.88 = 52,189.88/x
  3. Step 3: Cross multiply
    38,681.25x = 52,189.88 × 52,189.88
  4. Step 4: Simplify right side
    38,681.25x = 2,723,783,052.52
  5. Step 5: Solve for x
    x = 2,723,783,052.52/38,681.25
  6. Step 6: Final answer
    x = 70,416.11

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.